Mathematics: Which graph represents the function g(x)=x−1−−−−−√+1 ?

Hmmm It s kinda blurry for meStep-by-step explanation:...

Which graph represents the function g(x)=x−1−−−−−√+1

ngmasuku3115

14.03.2022

First graph

Step-by-step explanation:

Given function,

$g(x)=\sqrt{x-1}+1$

∵ The point from which the graph of the function passes through will be satisfy the function,

In the first graph,

Graph is passing through (1, 1), (5, 3) and (10, 4),

$1=\sqrt{1-1}+1$

$3=\sqrt{5-1}+1$

$4=\sqrt{10-1}+1$

So, all points (1, 1), (5, 3) and (10, 4) satisfy the function,

In the second graph,

Graph is passing through (-1, -1), (3,1) and (8,2),

Since,

$-1\neq \sqrt{-1-1}+1$

So, all points of graph 2 do not satisfy the function,

In the third graph,

Graph is passing through (1, -1), (5, 1) and (10, 2),

$-1\neq \sqrt{1-1}+1$

So, all points of graph 3 do not satisfy the function,

In the fourth graph,

Graph is passing through (-1, 1), (3, 3) and (8, 4),

$1\neq \sqrt{-1-1}+1$

So, all points of graph 4 do not satisfy the function

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